This article reviews quantum cluster theories, a set of approximations for infinite lattice
models which treat correlations within the cluster explicitly, and correlations at longer length …

Simulations of finite temperature quantum systems provide imaginary frequency Green's
functions that correspond one to one to experimentally measurable real-frequency spectral …

A new approach to the single-band Hubbard model is described in the general context of
many-body theories. It is based on enforcing conservation laws, the Pauli principle and a …

Finite-temperature quantum field theories are formulated in terms of Green's functions and
self-energies on the Matsubara axis. In multiorbital systems, these quantities are related to …

Model-independent compact representations of imaginary-time data are presented in terms
of the intermediate representation (IR) of analytical continuation. We demonstrate the …

We present a generalization of the maximum entropy method to the analytic continuation of
matrix-valued Green's functions. To treat off-diagonal elements correctly based on Bayesian …

Analytic continuation is a central step in the simulation of finite-temperature field theories in
which numerically obtained Matsubara data are continued to the real frequency axis for a …

We study the pseudogaps in the spectra of the 2D Hubbard model using both finite-size and
dynamical cluster approximation (DCA) quantum Monte Carlo calculations. At half-filling, a …

We formulate the problem of numerical analytic continuation in a way that lets us draw
meaningful conclusions about the properties of the spectral function based solely on the …

The ill-posed analytic continuation problem for Green's functions and self-energies is
investigated by revisiting the Padé approximants technique. We propose to remedy the well …